Answer
Domain: $(-3,\ \infty)$
Work Step by Step
We need to find the domain of the given function:
$f(x)=\log_{10}(x+3)$
We know that we can't take the log of a negative number, so:
$x+3\gt 0$
$x\gt -3$
Thus the domain is: $(-3,\ \infty)$.
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 388: 73
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